948414000 has 160 divisors (see below), whose sum is σ = 3156940800. Its totient is φ = 244704000.

The previous prime is 948413971. The next prime is 948414001. The reversal of 948414000 is 414849.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (948414001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183451 + ... + 188549.

It is an arithmetic number, because the mean of its divisors is an integer number (19730880).

Almost surely, 2^948414000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 948414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578470400).

948414000 is an abundant number, since it is smaller than the sum of its proper divisors (2208526800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

948414000 is a wasteful number, since it uses less digits than its factorization.

948414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5156 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 948414000 is about 30796.3309502934. The cubic root of 948414000 is about 982.5002104254.

Adding to 948414000 its reverse (414849), we get a palindrome (948828849).

The spelling of 948414000 in words is "nine hundred forty-eight million, four hundred fourteen thousand".